Abstract

Heat transfer during agitation of Bingham viscoplastic fluid is studied in this paper. The fluid is agitated with an anchor impeller and the heating is made by a jacketed wall of the stirred vessel. Transfers in the agitated vessel, translating hydrodynamic and thermal phenomena, are numerically predicted by means of Computational Fluid Dynamics (CFD) in transient regime. The purpose of this numerical study is to identify the rigid zones and to optimize mixing and heating performances. The Navier-Stokes and energy equations are discretized using finite volume method, and a two-dimensional analysis of the hydrodynamic and transient thermal behaviours generated in the agitated vessel are performed. Fluid rheology is modeled by the Bingham approximation and Papanastasiou’s regularization model. Results show the presence of recirculation zones and permit to explain the unpredicted Nusselt number increasing when Oldroyd number increases. This study shows also the importance of the anchor position on the size and the shape of the rigid zones and on the heating performances.

Highlights

  • In many industrial areas mixing is an important step such as the food, pharmaceutical or polymer industries

  • We present a two-dimensional numerical modelling of the hydrodynamic and transient thermal behaviours in a stirred vessel agitated with anchor impeller

  • We will present numerical results to give a fine knowledge of the hydrodynamic characteristics and the temporal evolution of the thermal behavior induced in an agitated mixing vessel

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Summary

Introduction

In many industrial areas mixing is an important step such as the food, pharmaceutical or polymer industries. Heat transfer to Bingham fluids in mixing process has not been investigated in the previous numerical studies; there is some works in Newtonian cases. The aim of this work was to investigate both mixing and heating of pseudoplastic fluids possessing yield stress by studying the effect of plasticity and impeller position on the hydrodynamic and thermal structures developed in the stirred vessel. For this purpose, the resolution of dynamics and heat transfer equations, governing the transfer phenomena developed in the tank is conducted using finite-volume technique discretization

Mathematical formulation and numerical method
Results and discussion
Rigid zone characteristics
Yield stress effect on the hydrodynamic behaviour
Yield stress and inertia effects on the rigid zones
Yield stress effect on the thermal behaviour
Effect of the impeller position on the rigid zones
Conclusion
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